Answer:
The difference between them will be 6.
Step-by-step explanation:
When they went for their first round of cycling, which was 45 minutes, it was already a distance of 3 miles adding another 6 to Han's miles and another 9 to Claire's miles it would give you 18 and 12 and 18 minus 12 is 6.
Therefore, it was doubled from the distance only being 3 miles to 6 miles.
i got 5.14cm i don´t know how much you are supposed to round though
36/42= 0.857142857 x 6=5.142857143
Answer:
BC = 17.2.
Step-by-step explanation:
Since CAB = 90º, this is a right triangle.
The triangle format is given below:
C
A B
We have that AB = 8.6, and angle B measures 60º.
Length of BC:
BC is the hypotenyse.
Side AB is adjacent to angle B = 60º.
In a right triangle, angle 
, it's adjacent side with length s and the hypotenuse h are related by the cosine of the angle, that is:
In this question, we have an angle of 60º, with has cosine 0.5. We also have that side AB = s = 8.6, and the hypotenuse h is side BC. So
BC = 17.2.
Given:
• Amount to save, A = $28,000
,
• Time, t = 6 years
,
• Interest rate, r = 5.3% ==> 0.053
,
• Number of times compounded = quarterly = 4 times
Let's find the amount that must be deposited into the account quarterly.
Apply the formula:
Where:
FV is the future value = $28,000
r = 0.053
n = 4
t = 6 years
Thus, we have:
Let's solve for P.
We have:
Solving further:
Divide both sides by 28.0384237:
Therefore, the amount that must be deposited quarterly into the account is $998.60
ANSWER:
$998.60
<span>The <u>correct answer</u> is:
A) 60% ± 18%.
Explanation:
In a confidence interval, the margin of error is given by z*(</span>σ/√n<span>), where </span>σ<span> is the standard deviation and n is the sample size.
First we <u>find the value of z</u>:
We want a 95% confidence level; 95% = 95/100 = 0.95.
To find the z-score, we first subtract this from 1:
1-0.95 = 0.05.
Divide by 2:
0.05/2 = 0.025.
Subtract from 1 again:
1-0.025 = 0.975.
Using a z-table, we find this value in the middle of the table. The z-score that is associated with this value is 1.96.
Back to our formula for margin of error, we have 1.96(</span>σ<span>/</span>√n<span>). The larger n, the sample size, is, the larger its square root is. When we divide by a larger number, our answer is smaller; this gives us a smaller margin of error.
This means that if we had a small sample size, we would divide by a smaller number, making our margin of error larger. The largest margin of error we have in this question is 18%, so this is our correct answer.</span>
